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dc.contributor.authorMisra, Vinithen_US
dc.contributor.authorGoyal, Vivek K.en_US
dc.contributor.authorVarshney, Lav R.en_US
dc.date.accessioned2021-05-12T13:57:11Z
dc.date.available2021-05-12T13:57:11Z
dc.date.issued2011-08
dc.identifier.citationVinith Misra, Vivek K Goyal, Lav R Varshney. 2011. "Distributed Scalar Quantization for Computing: High-Resolution Analysis and Extensions." IEEE Transactions on Information Theory, Volume 57, Issue 8, pp. 5298 - 5325. https://doi.org/10.1109/tit.2011.2158882
dc.identifier.issn0018-9448
dc.identifier.issn1557-9654
dc.identifier.urihttps://hdl.handle.net/2144/42540
dc.description.abstractCommunication of quantized information is frequently followed by a computation. We consider situations of distributed functional scalar quantization: distributed scalar quantization of (possibly correlated) sources followed by centralized computation of a function. Under smoothness conditions on the sources and function, companding scalar quantizer designs are developed to minimize mean-squared error (MSE) of the computed function as the quantizer resolution is allowed to grow. Striking improvements over quantizers designed without consideration of the function are possible and are larger in the entropy-constrained setting than in the fixed-rate setting. As extensions to the basic analysis, we characterize a large class of functions for which regular quantization suffices, consider certain functions for which asymptotic optimality is achieved without arbitrarily fine quantization, and allow limited collaboration between source encoders. In the entropy-constrained setting, a single bit per sample communicated between encoders can have an arbitrarily large effect on functional distortion. In contrast, such communication has very little effect in the fixed-rate setting.en_US
dc.format.extentp. 5298 - 5325en_US
dc.language.isoen_US
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en_US
dc.relation.ispartofIEEE Transactions on Information Theory
dc.subjectAsymptotic quantization theoryen_US
dc.subjectDistributed source codingen_US
dc.subjectOptimal point density functionen_US
dc.subjectRate-distortion theoryen_US
dc.subjectArtificial intelligence and image processingen_US
dc.subjectElectrical and electronic engineeringen_US
dc.subjectCommunications technologiesen_US
dc.subjectNetworking & telecommunicationsen_US
dc.titleDistributed scalar quantization for computing: high-resolution analysis and extensionsen_US
dc.typeArticleen_US
dc.description.versionAccepted manuscripten_US
dc.identifier.doi10.1109/tit.2011.2158882
pubs.elements-sourcecrossrefen_US
pubs.notesEmbargo: No embargoen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Engineeringen_US
pubs.organisational-groupBoston University, College of Engineering, Department of Electrical & Computer Engineeringen_US
pubs.publication-statusPublisheden_US
dc.identifier.orcid0000-0001-8471-7049 (Goyal, Vivek K)
dc.identifier.mycv115850


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